Revealing mistake: When everyone is examining the car that Fred bought, during a shot showing the front of the car, everyone's shadows are falling on the "street" behind the car, making it obvious that it's a painted backdrop.
Revealing mistake: Look closely at the Ricardos' new Pontiac convertible. There is no glass within the windshield frame.
California, Here We Come! - S4-E13
Revealing mistake: The Pontiac's glass windshield is gone when the car is loaded down with everyone's stuff, thanks to Fred's packing, and the windshield is also very noticeably gone when they all finally drive off. The rearview mirror, which should be attached to the windshield frame, is gone as well. (00:20:30 - 00:22:50)
First Stop - S4-E14
Revealing mistake: After the cheese sandwich experience at Skinner's diner, when Lucy takes the wheel and they all drive off heading to Cincinnati, the Pontiac's glass windshield and rearview mirror are gone, and they're gone again when they end up back at that diner the second time. (00:09:20 - 00:10:35)
First Stop - S4-E14
Revealing mistake: When the bed Lucy and Ricky are in moves as a train goes by look real close and you can see the wheels on it to help move it across the set piece.
Suggested correction: Not necessarily an error. My bed frame is on wheels.
Revealing mistake: At the Brown Derby, when Lucy bumps into the waiter causing him to trip and spill the tray all over William Holden, we can see that the waiter's hand is taped to the bottom of the tray for the stunt to be done efficiently. (00:15:15)
Revealing mistake: At the end of Lucy and Van Johnson's dance, Ricky and everyone else clap as Lucy walks through the curtain to head "backstage', and in the next shot just as Lucy walks through the curtain we catch a glimpse of Desi Arnaz standing there waiting for his cue. Then in a few moments Ricky, Ethel, Fred, and Caroline all rush in excitedly to congratulate Lucy. (00:24:55)